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Finding the Fourth Proportional to 6,475.04, 9,711.52 and 1,856.96

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Solution

The fourth proportional to 6,475.04, 9,711.52 and 1,856.96 is: 2,785.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.04 : 9,711.52 = 1,856.96 : x
  2. Step 2: Convert to fraction form
    6,475.04/9,711.52 = 1,856.96/x
  3. Step 3: Cross multiply
    6,475.04x = 9,711.52 × 1,856.96
  4. Step 4: Simplify right side
    6,475.04x = 18,033,904.18
  5. Step 5: Solve for x
    x = 18,033,904.18/6,475.04
  6. Step 6: Final answer
    x = 2,785.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.